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Finding the Third Proportional to 103,524 and 225,996

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Solution

The third proportional to 103,524 and 225,996 is: 493,356.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,524 : 225,996 = 225,996 : x
  2. Step 2: Convert to fraction form
    103,524/225,996 = 225,996/x
  3. Step 3: Cross multiply
    103,524x = 225,996 × 225,996
  4. Step 4: Simplify right side
    103,524x = 51,074,192,016
  5. Step 5: Solve for x
    x = 51,074,192,016/103,524
  6. Step 6: Final answer
    x = 493,356.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.